How to Find GCF of 6842/711, 9269/1016?

GCF of 6842/711, 9269/1016

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6842/711, 9269/1016 i.e 1/722376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6842/711, 9269/1016.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6842/711,9269/1016?

Given fractions are 6842/711,9269/1016

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6842/711,9269/1016, numerators are 6842,9269

Denominators are 711,1016

The GCF of 6842,9269 is 1 .

LCM of 711,1016 is 722376.

The greatest common factor of 6842/711,9269/1016 = [GCF of 6842,9269]/[LCM of 711,1016]= 1/722376

Therefore, the GCF of 6842/711,9269/1016 is 1/722376.

Greatest Common Factor of 6842,9269

To find the highest common factor of 6842,9269, we have to find the factors of both numbers and list the highest common factor.

The factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842

The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269

The HCF of 6842,9269 is 1.

Lets's calculate GCF of 6842,9269

Greatest Common Factor (GCF) of 6842,9269 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6842,9269 By Matching Biggest Common Factor Method

Now, list down the factors of 6842

1,2,11,22,311,622,3421,6842

Now, list down the factors of 9269

1,13,23,31,299,403,713,9269

Greatest Common Factor

We found the factors 6842,9269 . The biggest common factor number is the GCF number.
So the greatest common factor 6842,9269 is 1.

Lets's calculate LCM of 711,1016

Lowest Common Multiple of 711,1016 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 722376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722376

Therefore, the GCF of Fractions 6842/711,9269/1016 is 1/722376

Least Common Multiple of 711,1016 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 711,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,1016) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(711,1016) x common factors =1 x 1 = 1

LCM(711,1016) = ( 711 × 1016 ) / 1

LCM(711,1016) = 722376 / 1

LCM(711,1016) = 722376

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FAQs on GCF of Fractions of 6842/711, 9269/1016

1. What is the HCF of 6842,9269?

The HCF of 6842,9269 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 6842/711, 9269/1016?

Answer: GCF of Numerators as per given numbers 6842/711, 9269/1016 is

GCF of Numerators i.e. for 6842,9269 is 1

LCM of denominators i.e. for 711,1016 is 722376.

Thus, GCF of Fractions is 1/722376.Finally, GCF of Fractions for 6842/711, 9269/1016 is 1/722376.